Solving for Line Currents in a Wye-Delta Circuit

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SUMMARY

The discussion focuses on calculating line currents in a Wye-Delta circuit using Mesh Analysis. The user encounters discrepancies when converting a Delta load to a Wye load, specifically applying the formula Zwye = (1/3)Zdelta. The balanced Delta load is transformed into a balanced Wye load with an impedance of 4 + j0.666. The user correctly identifies that the line impedances must be added in series with the load impedances to determine the line currents, which are calculated using phase voltages divided by the total series impedance of 5 + j2.666.

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  • Understanding of Wye and Delta circuit configurations
  • Proficiency in Mesh Analysis techniques
  • Knowledge of complex impedance calculations
  • Familiarity with phasor representation of voltages
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  • Study the conversion formulas between Delta and Wye loads in electrical circuits
  • Learn advanced Mesh Analysis techniques for circuit analysis
  • Explore complex impedance and its applications in AC circuit analysis
  • Investigate the effects of series and parallel combinations of impedances on circuit behavior
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Electrical engineers, students studying circuit theory, and professionals involved in power systems analysis will benefit from this discussion.

scothoward
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Hi,

In the attached file, the question asks to find the three line currents. I understand the solution using Mesh Analysis that was used. However, I am unsure as to why when I convert the Delta Load to a Wye load, I get the wrong answer.

Using Zwye = (1/3)Zdelta, adding the series line impedance with the load impedance, and then finding the line current using a single phase equivalent.


Essentially the Balanced Delta load becomes a Balance Wye load of 4 + j0.666. Then the line impedances will be in series with each individual load. So each impedance should be (4 + j0.666) + (1 + j2). Finally, the line currents will be the phase voltages (100 angle0, 100 angle-120, 100 angle120) divided by the series line and load impedance, 5 + j2.666.

Am I doing something wrong?
 

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